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Finding the Fourth Proportional to 5,243.22, 7,866.24 and 1,545.42

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Solution

The fourth proportional to 5,243.22, 7,866.24 and 1,545.42 is: 2,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.22 : 7,866.24 = 1,545.42 : x
  2. Step 2: Convert to fraction form
    5,243.22/7,866.24 = 1,545.42/x
  3. Step 3: Cross multiply
    5,243.22x = 7,866.24 × 1,545.42
  4. Step 4: Simplify right side
    5,243.22x = 12,156,644.62
  5. Step 5: Solve for x
    x = 12,156,644.62/5,243.22
  6. Step 6: Final answer
    x = 2,318.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.